You don't need to invade Taiwan. Just act and behave as it is part of your territorry ie. conduct air and sea policing in your extended territotial space. Seize and divert traffic, examine cargoes etc. If Taiwanese try something, their air and naval assets are already being tracked and targeted and they can be literraly offed faster than they can say "Oh, shit". Then you just bloackade it and conduct an air and missile strikes till they surrender, Just like with Japan in World War II, while simulatanously defending from their missile strikes.
When supply chains deteriorate, and with that morale and social cohesion, you can land.